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Mrs. MacLacklin 5/27/14. Unit 13 Test Review. Common Cubes and Cube Roots. 2 = 4 = 10 = 6. Practice. Cube. The amount of 3-dimensional space an object occupies also called Capacity. Volume = Length x Width x Height. Volume:.
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Mrs. MacLacklin 5/27/14 Unit 13 Test Review
2 = 4 = 10 = 6 Practice
The amount of 3-dimensional space an object occupies also called Capacity. Volume =LengthxWidthx Height Volume:
To find the volume of a cube, you cube the side length! Volume = V = 4 cubed V = 4 x 4 x 4 V = 64 cm cubed
V= L x W x H V = 5 x 3 x 4 V = 15 x 4 V = 60 cm cubed
What is the Side Length??? To find the volume of a cube, you cube the side length! Volume = 27 = 27 = s x s x s s = 3 cm What is the cube root of 27?
Rectangular Prism Net A net of a solid figure is a pattern of polygons that can be folded to form that solid figure. Think of unfolding a cardboard box, and then putting it back together!
Nets are made up of polygons (shapes). Each polygon represents a face of the solid shape that the net represents. The number of polygons in a net equals the number of faces in the solid. Nets of solids
First, how many sides should we have total? • Should they all be the same shape and size? Let’s Draw a Net…
The total area of all of a solid’s faces. Think of painting all the faces of a box. The paint covers the surface area of the box. Surface area is always labeled as units squared.You can use nets to help you find surface area. Surface Area
Draw the net. • Find the area of each polygon of the net. • A = L x W • Calculate the total of these areas. Steps for Finding Surface Area of a Solid
Because a cube has 6 congruent (equal) faces, we can just find the area of one, and multiply! A = L x W A = 4 x 4 = 16 Each of the six faces has an area of 16 cm². 6 squares, 16 x 6 = 96 So the total Surface Area is 96 cm². Surface Area: Review
Surface area is the total area of all the surfaces of a solid. Volume is a measure of the amount of space that a solid occupies. When an everyday situation involves surface area, the discussion is often about how much material is needed to cover a surface of a solid, such as the amount of paint needed to paint a box. When an everyday situation involves volume, the discussion is about how much space is inside a solid, such as the available space in a box. Surface Area vs Volume
Surface Area OR Volume Miss Smith is wrapping a gift for Mrs. Oakes baby shower! She needs to figure out how much paper she will need to cover the box.
Mrs. Johnson needs to buy a bucket to fill with water for her horse. She needs to make sure that the bucket is big enough to hold enough water for a whole day. Surface Area OR Volume
Triangle faces are equilateral: all 3 rectangular faces are congruent. Triangle faces are isosceles: 2 of the rectangular faces are congruent. Triangle faces are scalene triangles: no congruent rectangular faces. Triangular Prisms
A triangular prism has 2 congruent triangular bases and 3 rectangular faces. The rectangular faces may or may not be congruent, so you have to study each triangular prism carefully!! Let’s work some more with Triangular Prisms!
What is the Scale? 6 in
What would be the scale? 2 3 4 5 4 yd